3,629,087

7² × 11 × 6733

Starting at 3,629,087, the Collatz iteration reaches 1 after 172 steps. The first transition is 10887262; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 11 × 6733

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,606,056

Proper Divisor Sum 976,969

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3629081 ← → #3629099

Radix Representation

Decimal	3629087
Binary	1101110110000000011111 (22 bits)
Octal	0o15660037
Hexadecimal	0x37601F

Divisor Catalog (12)

1 7 11 49 77 539 6,733 47,131 74,063 329,917 518,441 3,629,087

Collatz Trajectory (172 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,629,087 10,887,262 5,443,631 16,330,894 8,165,447 24,496,342 12,248,171 36,744,514 18,372,257 55,116,772 27,558,386 13,779,193 41,337,580 20,668,790 10,334,395 31,003,186 15,501,593 46,504,780 23,252,390 11,626,195 34,878,586 17,439,293 52,317,880 26,158,940 13,079,470 6,539,735 19,619,206 9,809,603 29,428,810 14,714,405 44,143,216 22,071,608 11,035,804 5,517,902 2,758,951 8,276,854 4,138,427 12,415,282 6,207,641 18,622,924 9,311,462 4,655,731 13,967,194 6,983,597 20,950,792 10,475,396 5,237,698 2,618,849 7,856,548 3,928,274 1,964,137 5,892,412 2,946,206 1,473,103 4,419,310 2,209,655 6,628,966 3,314,483 9,943,450 4,971,725

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